Final answer:
To find the volume of the right rectangular prism with a base of 423 mm by 3 mm and a height of 512 mm, simply multiply the base measurements by the height. The volume is 649728 cubic millimeters (mm^3).
Step-by-step explanation:
The volume of a right rectangular prism is calculated by multiplying the length by the width by the height of the prism. Since the base is given as 423 mm by 3 mm, and the height is 512 mm, the volume V is found using the formula V = length × width × height.
To find the volume we perform the following calculation:
- V = 423 mm × 3 mm × 512 mm
- V = 1269 mm2 × 512 mm
- V = 649728 mm3
Therefore, the volume of the prism is 649728 cubic millimeters (mm3).